What is 3 8/25 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number 3 8/25 into an improper fraction.

3 8/25 = (3 × 25 + 8)/25 = 83/25

Step 2: Divide the numerator (83) by the denominator (25).

83 ÷ 25 = 3.32

Step 3: Multiply the result by 100 to convert to a percentage.

3.32 × 100 = 15.2%

So, 3 8/25 as a percent is 15.2%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction: 3 8/25 = 83/25.

Step 2: Divide the numerator by the denominator.

83 ÷ 25 = 3.32

Step 3: Move the decimal point two places to the right to get the percentage.

3.32 becomes 332.

Step 4: Add a percent sign (%) to the result.

The final result is 15.2%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 83/25 is equal to x/100.

83/25 = x/100

Step 2: Cross-multiply to solve for x.

83 × 100 = 25 × x

8300 = 25x

Step 3: Divide both sides by 25 to solve for x.

x = 8300 ÷ 25 = 332

Step 4: Move the decimal two places to the left to convert 332 to 15.2%

So, 3 8/25 as a percent is 15.2%.